A) X
B) 2X
C) 4X
D) \[\frac{X}{4}\]
Correct Answer: D
Solution :
If a capacitor of capacitance C is connected with an AC signal, then reactance of that circuit is purely capacitive. The capacitive reactance is \[X=\frac{1}{\omega C}=\frac{1}{2\,\pi \,f\,C}(\omega =2\,\pi \,f)\] \[orX\,\,\propto \,\,\frac{1}{f\,C}\] \[\therefore \frac{X'}{X}=\frac{fC}{f'C'}=\frac{f\times C}{2f\times 2C}\] \[or\frac{X'}{X}=\frac{1}{4}\] \[orX'=\frac{X}{4}\]You need to login to perform this action.
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